A counterexample to marked length spectrum semi-rigidity
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912073594699776 |
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| author | Gogolev, Andrey Reber, James Marshall |
| author_facet | Gogolev, Andrey Reber, James Marshall |
| contents | Given a closed orientable negatively curved Riemannian surface $(M,g)$, we show how to construct a perturbation $(M,g^\prime)$ such that each closed geodesic becomes longer, and yet there is no diffeomorphism $f : (M,g^\prime) \rightarrow (M,g)$ which contracts every tangent vector. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_10882 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A counterexample to marked length spectrum semi-rigidity Gogolev, Andrey Reber, James Marshall Differential Geometry Dynamical Systems Given a closed orientable negatively curved Riemannian surface $(M,g)$, we show how to construct a perturbation $(M,g^\prime)$ such that each closed geodesic becomes longer, and yet there is no diffeomorphism $f : (M,g^\prime) \rightarrow (M,g)$ which contracts every tangent vector. |
| title | A counterexample to marked length spectrum semi-rigidity |
| topic | Differential Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2309.10882 |